English

Potential functions via toric degenerations

Symplectic Geometry 2010-02-28 v2 Algebraic Geometry

Abstract

This is a short companion paper to arXiv:0810.3470. We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the potential function for its Lagrangian torus fibers if the central fiber is a toric Fano variety admitting a small resolution.

Keywords

Cite

@article{arxiv.0812.0066,
  title  = {Potential functions via toric degenerations},
  author = {Takeo Nishinou and Yuichi Nohara and Kazushi Ueda},
  journal= {arXiv preprint arXiv:0812.0066},
  year   = {2010}
}

Comments

14 pages, no figures. v2: removed errors from an earlier version of arXiv:0810.3470, and added discussions on quadric surface

R2 v1 2026-06-21T11:46:37.606Z